MULTINOMIAL

Calculates the multinomial[1] of a number of values.

This is the factorial of the sum of all the values divided by the product of all the factorials of each value.

Syntax:

MULTINOMIAL( list )

Returns the multinomial of all the numeric values in the list.

list may be a range of cells, an array, or a comma-separated list of values (which may contain cell references and also ranges of cells as one or more of its elements).

Formula:

MULTINOMIAL, (x1, …, xn)! = ( i 1n xi )!  ∕  ( i 1n xi! )

where n is the number of values and xi is the i‑th value.

Revisions:

This function was added in Fireworkz 2.00.

  1. Weisstein, Eric W. "Multinomial Coefficient." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MultinomialCoefficient.html